A Jump Markov System for Modelling a Realistic Error Model Depending on Satellite Reception State in Urban Environment

Donnay F. Nahimana, Juliette Marais and Emmanuel Duflos

Abstract: Lots of the GNSS applications deal today with transportation. However, main transport applications, for rail or road, are used in dense urban area or at least suburban, that makes difficult the best conditions of reception of every available satellite signals. The consequences of environmental obstructions are unavailability of the service and multipath reception that degrades in particular the accuracy of the positioning. In order to enhance GNSS performances, several research axes can be found in the literature that can deal with multi-sensors uses, electronic enhancement, receiver processing… This paper focuses on filtering methodology and presents the application of a Jump Markov System algorithm for urban areas. The originality of the approach is to adapt the error model in the filtering process to the reception condition of each satellite signal. In such an environment, signal reception is degraded by obstacles and the noise distribution cannot be considered as a Gaussian white noise. A particle filter is then applied to estimate the position. In this context, the satellite propagation channel can be modelled with 3 states Markov Chains, representing the states of reception of each signal. In the algorithm, we have introduced a variable related to the reception state. It will be helpful to get a model of all observation errors when multipath are involved in satellite reception process.
Published in: Proceedings of the 20th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2007)
September 25 - 28, 2007
Fort Worth Convention Center
Fort Worth, TX
Pages: 1692 - 1698
Cite this article: Nahimana, Donnay F., Marais, Juliette, Duflos, Emmanuel, "A Jump Markov System for Modelling a Realistic Error Model Depending on Satellite Reception State in Urban Environment," Proceedings of the 20th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2007), Fort Worth, TX, September 2007, pp. 1692-1698.
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